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55295856 = 24327114987
BaseRepresentation
bin1101001011101…
…1111101110000
310212001022122200
43102323331300
5103123431411
65253103200
71241002260
oct322737560
9125038580
1055295856
1129238660
1216627b00
13b5c0a55
1474b57a0
154cc3e56
hex34bbf70

55295856 has 120 divisors (see below), whose sum is σ = 192975744. Its totient is φ = 14359680.

The previous prime is 55295843. The next prime is 55295857. The reversal of 55295856 is 65859255.

55295856 = 12992 + 13002 + ... + 13302.

55295856 is a `hidden beast` number, since 552 + 95 + 8 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55295857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8595 + ... + 13581.

Almost surely, 255295856 is an apocalyptic number.

55295856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55295856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96487872).

55295856 is an abundant number, since it is smaller than the sum of its proper divisors (137679888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55295856 is a wasteful number, since it uses less digits than its factorization.

55295856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5010 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 55295856 is about 7436.1183422536. The cubic root of 55295856 is about 380.9759217635.

The spelling of 55295856 in words is "fifty-five million, two hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4987 5544 9974 11088 14961 19948 29922 34909 39896 44883 54857 59844 69818 79792 89766 104727 109714 119688 139636 164571 179532 209454 219428 239376 279272 314181 329142 359064 383999 418908 438856 493713 558544 628362 658284 718128 767998 837816 877712 987426 1151997 1256724 1316568 1535996 1675632 1974852 2303994 2513448 2633136 3071992 3455991 3949704 4607988 5026896 6143984 6911982 7899408 9215976 13823964 18431952 27647928 55295856